Liping Huang

most citedThe endomorphism of Grassmann graphs

3 citations · 4 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.CO2017

Generalized bilinear forms graphs and MDR codes

Li-Ping Huang

We investigate the generalized bilinear forms graph $Γ_{d}$ over a residue class ring $Z_{p^{s}}$ . We show that $Γ_{d}$ is a connected vertex transitive graph, and completely de…

math.CO2017

Vector spaces and Grassmann graphs over residue class rings

Li-Ping Huang, Benjian Lv, Kaishun Wang

Let $Z_{p^{s}}$ be the residue class ring of integers modulo $p^{s}$ , where $p$ is a prime number and $s$ is a positive integer. Using matrix representation and the inner rank…

math.CO2017

Graph homomorphisms on rectangular matrices over division rings II

Li-Ping Huang, Kang Zhao

Let $D^{m \times n}$ be the set of $m \times n$ matrices over a division ring $D$ . Two matrices $A, B \in D^{m \times n}$ are adjacent if ${\rm rank}(A-B)…

math.CO2017★ 1 cited

Graph homomorphisms on rectangular matrices over division rings I

Li-Ping Huang, Kang Zhao

Let $D$ be a division ring, and let $D^{m \times n}$ be the set of $m \times n$ matrices over $D$ . Two matrices $A, B \in D^{m \times n}$ are adj…

math.CO2014★ 3 cited

The endomorphism of Grassmann graphs

Li-Ping Huang, Benjian Lv, Kaishun Wang

A graph is called a pseudo-core if every endomorphism is either an automorphism or a colouring. In this paper, we show that every Grassmann graph $J_{q} (n, m)$ is a pseudo-core. Moreo…